Question

Problem PageQuestion Two pools are being filled with water. To start, the first pool contains 720 liters of water and the second pool is empty. Water is being added to the first pool at a rate of 19.25 liters per minute. Water is being added to the second pool at a rate of 41.75 liters per minute. After how many minutes will the two pools have the same amount of water? minutes How much water will be in each pool when they have the same amount? liters

Answer 1

After 32 minutes the two pools will have the same amount of water.

There will be 1,366 liters in each pool when they have the same amount of water.

Explanation:

Hi, to answer this question we have to write a system of equations:

The first pool contains 720 liters of water, and it’s being added at a rate of 19.25 liters per minute.

First Pool = 720 +19.25 m

Where m is the number of minutes.

The second pool is empty, and Water is being added at a rate of 41.75 liters per minute

Second pool = 41.75m

Since both pools must have the same amount of water:

720 +19.25 m = 41.75m

Solving for m:

720 = 41.75m-19.25 m

720 = 22.5m

720/22.5 = m

32 = m

After 32 minutes the two pools will have the same amount of water.

Finally, we replace m=32 on any equation:

41.75m = 41.75 (32) = 1,336 liters

There will be 1,366 liters in each pool when they have the same amount of water.

Feel free to ask for more if needed or if you did not understand something.